Finite Group Databasebeta

← Group #487477

Character table — Group #487477

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111222244488888881616161616161616161616161616161616161632323232
order12222244224244444422444444444444488884488
χ111111111111111111111111111111111111111111
χ21111111111111111111111-1-11-1-111-1-1-1-11111-1-1-1-1
χ31111111111111111111-1-1-111-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111-1-111-11111-111-1-1-111-1-1-1-1-1-111-1-1
χ611111111111111-1-111-1111-111-11-1-1-1-111-1-1-1-1-1-111
χ711111111111111-1-111-1-1-1-11-1-11-1-1-111-1-11111-1-111
χ811111111111111-1-111-1-1-1-1-11-1-11-1-1-1-111111111-1-1
χ9111111-1-111-1-1-1-11111-111-111-1-1-11-11-11-111-1-11-11-1
χ10111111-1-111-1-1-1-11111-111-1-1-1-1111-1-11-1111-1-1-11-11
χ11111111-1-111-1-1-1-11111-1-1-11111-1-11-11-11-1-1-111-11-11
χ12111111-1-111-1-1-1-11111-1-1-11-1-11111-1-11-11-1-1111-11-1
χ13111111-1-111-1-1-1-1-1-111111-11-1-1-11-111-1-11-1-1111-1-11
χ14111111-1-111-1-1-1-1-1-111111-1-11-11-1-11-111-1-1-111-111-1
χ15111111-1-111-1-1-1-1-1-1111-1-111-11-11-111-1-1111-1-1-111-1
χ16111111-1-111-1-1-1-1-1-1111-1-11-1111-1-11-111-111-1-11-1-11
χ1722222222222-2-2200-2-200002002000-2-20000000000
χ1822222222222-2-2200-2-20000-200-2000220000000000
χ1922222222-2-222-2-222-22200000000-2-2000000000000
χ2022222222-2-222-2-2-2-2-22-20000000022000000000000
χ2122222222-2-22-22-2002-20000020020000-2-200000000
χ2222222222-2-22-22-2002-200000-200-200002200000000
χ23222222-2-222-222-200-2-20000200-2000-220000000000
χ24222222-2-222-222-200-2-20000-20020002-20000000000
χ25222222-2-2-2-2-22-22002-200000200-20000-2200000000
χ26222222-2-2-2-2-22-22002-200000-200200002-200000000
χ27222222-2-2-2-2-2-22222-22-200000000-22000000000000
χ28222222-2-2-2-2-2-222-2-2-222000000002-2000000000000
χ294444-4-44400-4000000002-2-20020000000000000000
χ304444-4-44400-400000000-22200-20000000000000000
χ314444-4-4-4-4004000000002-2200-20000000000000000
χ324444-4-4-4-400400000000-22-20020000000000000000
χ3344-4-44-4004-4000000000000000000000000022−220000
χ3444-4-44-4004-40000000000000000000000000−22220000
χ3544-4-44-400-44000000000000000000000002i2−2i2000000
χ3644-4-44-400-4400000000000000000000000−2i22i2000000
χ3788-8-8-8800000000000000000000000000000000000
χ388-88-8008i−8i000000000000000000000000000000000
χ398-88-800−8i8i000000000000000000000000000000000
χ408-8-8800000000004-40000000000000000000000000
χ418-8-880000000000-440000000000000000000000000

Here i is the imaginary unit (i² = −1).